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Finding the Fourth Proportional to 182,865.52, 252,377.76 and 102,297.52

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Solution

The fourth proportional to 182,865.52, 252,377.76 and 102,297.52 is: 141,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,865.52 : 252,377.76 = 102,297.52 : x
  2. Step 2: Convert to fraction form
    182,865.52/252,377.76 = 102,297.52/x
  3. Step 3: Cross multiply
    182,865.52x = 252,377.76 × 102,297.52
  4. Step 4: Simplify right side
    182,865.52x = 25,817,618,951.16
  5. Step 5: Solve for x
    x = 25,817,618,951.16/182,865.52
  6. Step 6: Final answer
    x = 141,183.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.